11641920 has 112 divisors (see below), whose sum is σ = 37722048. Its totient is φ = 3041280.

The previous prime is 11641919. The next prime is 11641937. The reversal of 11641920 is 2914611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64230 + ... + 64410.

It is an arithmetic number, because the mean of its divisors is an integer number (336804).

Almost surely, 2^11641920 is an apocalyptic number.

11641920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18861024).

11641920 is an abundant number, since it is smaller than the sum of its proper divisors (26080128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11641920 is a wasteful number, since it uses less digits than its factorization.

11641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 11641920 is about 3412.0257912273. The cubic root of 11641920 is about 226.6425964444.

It can be divided in two parts, 11641 and 920, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 11641920 in words is "eleven million, six hundred forty-one thousand, nine hundred twenty".